Establishes conditions for convexity in Ramanujan-type functions, indicating implications for their monotonicity.
The aim of this paper is to establish sufficient conditions on the parameters of a class of analytic functions related to Ramanujan-type entire functions, under which these functions are convex in the open unit disk. As an application, we study the monotonicity behavior of two related subclasses of functions, employing subordination factor sequences, as well as the monotonicity patterns of certain function classes involving the q-gamma function.
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Mehrez et al. (2026) studied this question.
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